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S=(x-1)5+5(x-1)4+10(x-1)3+10(x-1)2+5(x-1)+1,则合并同类项后S=()A.(x-2)5B.(x+1)5C.x5D.x5+5x4+10x3+10x2+5x+1

题目详情

S=(x-1)5+5(x-1)4+10(x-1)3+10(x-1)2+5(x-1)+1,则合并同类项后S=(  )

A. (x-2)5

B. (x+1)5

C. x5

D. x5+5x4+10x3+10x2+5x+1

▼优质解答
答案和解析
S=(x-1)5+5(x-1)4+10(x-1)3+10(x-1)2+5(x-1)+1=(x-1+1)5=x5
故选:C.